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Degree Residue characteristic Galois group Galois unramified degree Assoc. Inertia
Ramification index Discriminant exponent Inertia subgroup Galois tame degree Indices
Residue field degree Top slope Wild Visible Wild inertia subgroup
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Results (3 matches)

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Label Polynomial $p$ $e$ $f$ $c$ Galois group $u$ $t$ Visible slopes Slope content Unram. Ext. Eisen. Poly. Ind. of Insep. Assoc. Inertia
17.9.0.1 $x^{9} + 7 x^{2} + 8 x + 14$ $17$ $1$ $9$ $0$ $C_9$ (as 9T1) $9$ $1$ $[\ ]$ $[\ ]^{9}$ $t^{9} + 7 t^{2} + 8 t + 14$ $x - 17$ $[0]$ $[\ ]$
17.9.6.1 $x^{9} + 3 x^{7} + 93 x^{6} + 3 x^{5} + 33 x^{4} - 3542 x^{3} + 93 x^{2} - 1860 x + 29808$ $17$ $3$ $3$ $6$ $S_3\times C_3$ (as 9T4) $6$ $3$ $[\ ]$ $[\ ]_{3}^{6}$ $t^{3} + t + 14$ $x^{3} + 17$ $[0]$ $[2]$
17.9.8.1 $x^{9} + 17$ $17$ $9$ $1$ $8$ $D_{9}$ (as 9T3) $2$ $9$ $[\ ]$ $[\ ]_{9}^{2}$ $t + 14$ $x^{9} + 17$ $[0]$ $[2]$
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